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I'm a bit stuck on a statistical significance problem. I have the following data: The number of visitors for each of 2 web pages, and a number of conversions for each web page. (A conversion could be the number of visitors who completed the web form.) I would like to be able to say that there is X probability that the ratio of visitors to conversions will remain the same as number of visitors increases. Is this possible? Intuitively it seems impossible, since I could imagine a scenario where the composition of visitors changes drastically due to a link from a popular site. In other words, I don't know how representative my sample is of the population of possible visitors.

I am currently using the chi-square method to determine the probability that my data is not randomly distributed, but would like have a stronger significance measurement.

If anyone can point me in the right direction with a link or the name of an algorithm, I would appreciate it.

Thanks,

jessica